Nonstationary Rayleigh-Taylor instability in supernova ejecta

Physics

Scientific paper

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Macroinstabilities, Supernova Remnants, Magnetohydrodynamics And Plasmas, Plasma Dynamics And Flow

Scientific paper

This paper studies the effect of a nonstationary shell acceleration on the development of the Rayleigh-Taylor instability (RTI) in supernovae remnants (SNRs). Two groups of solutions describing acceleration and deceleration phase of the SNR shell are obtained. Using a special transformation (co-moving coordinate frame), an exact dispersion relation for nonstationary RTI is derived. It is shown that compressible and incompressible branches are separated for the spherically symmetric flow and only the former is unstable. The exact analytic solution is compared to a simpler WKB-like analysis and a good agreement is shown, which proves that this analysis can be useful and easily extended to further applications.

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